Circular tree view

Question

I have some data in a tree structure, and I want to represent them graphically, with the root node in the middle of the stage, its children are shifted around the circle, etc. for every child around their parents. I do not want to overlap nodes, so the question is how to optimally arrange the space. Something less or more like (found via google)

What algorithms do I need to look for to implement something like this?

Answer 1

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Answer 2

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Answer 3

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Answer 4

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I found this to give me a very decent and user-friendly distribution, although not very effective in terms of screen usage. I uploaded my tree view animation here: GIF animation